document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549543>Question 549543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello please help me ans these question it is a revision of mathematics i was doing and got stuck. i am having an exam to write tomorrow.\r<BR>\n" );
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document.write( "[The value of  is 3.142, correct to three decimal places.]<BR>\n" );
document.write( "[The volume of a sphere is  &#960;r<BR>\n" );
document.write( "3<BR>\n" );
document.write( ".]<BR>\n" );
document.write( "The diagrams show two ways of packaging 4 identical balls.<BR>\n" );
document.write( "The radius of each ball is 3 cm.<BR>\n" );
document.write( "Diagram I shows a closed rectangular box with a square base.<BR>\n" );
document.write( "Each ball touches the top, the bottom and two sides of the box.<BR>\n" );
document.write( "Each ball also touches two other balls.<BR>\n" );
document.write( "Diagram II shows a closed cylinder.<BR>\n" );
document.write( "The balls touch the ends and the side of the cylinder.<BR>\n" );
document.write( "(a) (i) Write down the dimensions of the rectangular box. [1]<BR>\n" );
document.write( "(ii) Calculate the total surface area of the outside of this box. [2]<BR>\n" );
document.write( "(b) Calculate the total surface area of the outside of the cylinder. [2]<BR>\n" );
document.write( "(c) Calculate the total volume of the 4 balls. [2]<BR>\n" );
document.write( "(d) Calculate, correct to three decimal places, the value of<BR>\n" );
document.write( "volume of the cylinder<BR>\n" );
document.write( "––––––––––––––––––– . [2]<BR>\n" );
document.write( "volume of the box<BR>\n" );
document.write( "(e) Hence state which of the two containers has more space not occupied by the balls. [1] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357905 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=357905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> [The value of is 3.142, correct to three decimal places.]<BR>\n" );
document.write( "[The volume of a sphere is &#960;r<BR>\n" );
document.write( "3<BR>\n" );
document.write( ".]<BR>\n" );
document.write( "The diagrams show two ways of packaging 4 identical balls.<BR>\n" );
document.write( "The radius of each ball is 3 cm.<BR>\n" );
document.write( "Diagram I shows a closed rectangular box with a square base.<BR>\n" );
document.write( "Each ball touches the top, the bottom and two sides of the box.<BR>\n" );
document.write( "Each ball also touches two other balls.<BR>\n" );
document.write( "Diagram II shows a closed cylinder.<BR>\n" );
document.write( "The balls touch the ends and the side of the cylinder.<BR>\n" );
document.write( "(a) (i) Write down the dimensions of the rectangular box. [1]<BR>\n" );
document.write( "6 by 6 by 24 cm<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(ii) Calculate the total surface area of the outside of this box. [2]<BR>\n" );
document.write( "There are 6 sides.  2 are 6 by 6, 4 are 6 by 24<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "(b) Calculate the total surface area of the outside of the cylinder. [2]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lateral+area+=+2%2Api%2Ar%2Ah ALIGN=MIDDLE  ALT=\"Lateral+area+=+2%2Api%2Ar%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq cm<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ends+=+pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"Ends+=+pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq cm<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "(c) Calculate the total volume of the 4 balls. [2]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Vol+=+4%2Api%2Ar%5E3%2F3 ALIGN=MIDDLE  ALT=\"Vol+=+4%2Api%2Ar%5E3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > for each ball.<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(d) Calculate, correct to three decimal places, the value of<BR>\n" );
document.write( "volume of the cylinder<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Vol+=+pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"Vol+=+pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "––––––––––––––––––– . [2]<BR>\n" );
document.write( "volume of the box<BR>\n" );
document.write( "Vol = 6*6*24 cc<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "(e) Hence state which of the two containers has more space not occupied by the balls. [1]<BR>\n" );
document.write( "The one with the largest volume.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );